A rod having a circular cross section (radius; 0.5 in, height; 15 in) is subjected to loadings as in the figure below. Determine (a) the principal stresses at point A, (b) the principal stresses at point B. Neglect the weight of the rod, and the stress due to the transverse shear force. 30 lb 540 lb · in. 15 in. A B

A rod having a circular cross section (radius; 0.5 in, height; 15 in) is subjected to loadings as in the figure below. Determine (a) the principal stresses at point A, (b) the principal stresses at point B. Neglect the weight of the rod, and the stress due to the transverse shear force. 30 lb 540 lb · in. 15 in. A B

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A cylindrical rod AB has a length ? = 80 cm and a diameter of ? = 2 cm. The modulus of elasticity is…

A: Given Length of Rod, L=80cm Diameter of rod=2 cm Modulus of elasticity, E=200 GPa Force, P=100 kN…

Q: The couple M = 23 kN-m is applied to a beam of the cross sec angle with the vertical. Determine the…

A: Given : M = 23 KNm and β =150 Find : stress at A, B ,D = ? Let the…

Q: Each bar of the truss shown in the figure below has a diameter of 20 mm Suppose that P= 36 kN…

Q: A rigid beam is being supported by three suspender bars made of bronze and loaded as shown in the…

Q: f the shaft?A

A: We knowμ=Lateral strainLongitudinal strainLateral strain=δddLongitudinal strain=δLL

Q: The solid shaft is fixed to the support at C and subjected to the torsional loadings shown in the…

Q: A uniform structural tubing column AB with a height of 4 m has a cross section as shown in Figure…

A: The given data is shown below: Height=4mE=200 GPaA=2285 mm2r=37.5 mmI=3.33×106 mm4F=2e=18.75 mm

Q: Refer image below

A: Given data: Steel:L=2 mDi=70 mmDe=100 mmBronze:L=1.5 mD=70 mm

Q: 1 - A bronze rod 3 m long with a cross sectional area of 320 mm² is placed between two rigid walls…

Q: 4. A steel cylinder surrounded by a copper tube is subjected to a compression between parallel…

Q: A solid aluminum shaft 2 in. in diameter as shown is subjected to two torques in the figure.…

Q: For the beam shown, calculate the bending stress at a point 70 mm. from the top of the beam. P = 59,…

Q: *1-36. If the block is subjected to a centrally applied force of P = 6 kip, determine the average…

Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

A rod having a circular cross section (radius; 0.5 in, height; 15 in) is subjected to loadings as in the figure below.
Determine (a) the principal stresses at point A, (b) the principal stresses at point B. Neglect the weight of the rod, and
the stress due to the transverse shear force.
30 lb
540 lb • in.
15 in.
A
В

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Solution

VIEW

Step 2 (a)principal stress at A

VIEW

Step 3 principal stresses at point B

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

For the beam shown below, b = 6 in and h = 14 in. If the beam is subjected to a transverse shear for of V = 8 kip, determine the largest shearing stress in the beam. Express your answer in psi to the nearest whole psi
A cylindrical pressure vessel having a radius r = 14 in. and wall thickness t = 0.375 in. is subjected to internal pressure p = 375 psi. In addition, a torque T = 90 kip-ft acts at each end of the cylinder (see figure). (Assume that the structures behave linearly elastically and that the stresses caused by two or more loads may be superimposed to obtain the resultant stresses acting at a point. Consider both in-plane and out-of-plane shear stresses unless otherwise specified.) (a) Determine the maximum tensile stress omay and the maximum in-plane shear stress Tmay in the wall of the cylinder. (Enter the magnitudes in ksi.) o, = ksi Tmax ksi (b) If the allowable in-plane shear stress is 4.5 ksi, what is the maximum allowable torque T? (Enter the magnitude in kip-ft.) kip-ft (c) If T = 150 kip-ft and allowable in-plane shear and allowable normal stresses are 4.5 ksi and 11.5 ksi, respectively, what is the minimum required wall thickness (in inches)? in.
T·r T (from torsion) = Tr4 J ="- (Solid rod) F Onormal = A o (from bending) M•y - (Solid rod) The solid rod shown in the figure below has diameter of 1.25 in. If it is subjected to the force of 60 lb, determine the state of stress at point A using the principle of superposition. Neglect the weight of the rod, and the stress due to the I %3D I 4 transverse shear force. 60 lb k-10 in.- 15 in. Front View -20 in. В
A rigid beam is being supported by three suspender bars made of bronze and loaded as shown in the figure. The cross-sectional area of each bar is 442 mm². Determine the axial stress in each bar. B 2 m O 1 m 5Q KN 1 m O E 1 m 8T KN 1 m LL
Solve the Problem, Thanks
None
Rods AB and BC have diameters of 2.9 mm and 4.6 mm, respectively. A force F = 2.4 kN is applied to the ring at B, as shown. (Figure 1) Determine the angle so that the average normal stress in each rod is equivalent. Express your answer to three significant figures. What is this stress? Express your answer to three significant figures and include appropriate units.
The tubular shaft shown in the figure has an external diameter of D = 5.5 in. and an internal diameter of d = 2.75 in. and is subjected to a torque of T= 6825 lb-in. [theta = 31 deg] What is the shear stress at A?in psi What is the shear stress at B?in psi What is the shear stress at C? What is the shear stress at D?in psi What is the shear stress at E?in psi